Results 1 to 10 of about 16,356,505 (288)
Oscillation Criteria for Qusilinear Even-Order Differential Equations
Mathematics, 2023 In this study, we extended and improved the oscillation criteria previously established for second-order differential equations to even-order differential equations. Some examples are given to demonstrate the significance of the results accomplished.
Mnaouer Kachout +4 more
doaj +2 more sources
Oscillatory Solutions to Neutral Delay Differential Equations
Mathematics, 2021 This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with neutral term β1ıΦα[ζr−1ı]′+β3ıΦα[ςξı]=0.
Fahad Alsharari +4 more
doaj +1 more source
Oscillation of even order nonlinear dynamic equations on time-scales [PDF]
Mathematica Moravica, 2022 In this paper, the authors discuss the oscillatory behavior of solutions to a class of even order nonlinear dynamic equations on time scales. The results are established by a comparison with n-th order delay dynamic inequalities or first-order delay ...
Grace Said R., Abbas Syed, Graef John R.
doaj +1 more source
Asymptotic Behavior of Solutions of Even-Order Differential Equations with Several Delays
Fractal and Fractional, 2022 The higher-order delay differential equations are used in the describing of many natural phenomena. This work investigates the asymptotic properties of the class of even-order differential equations with several delays.
Osama Moaaz, Wedad Albalawi
doaj +1 more source
On the Oscillation of Solutions of Differential Equations with Neutral Term
Mathematics, 2021 In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method.
Fatemah Mofarreh +4 more
doaj +1 more source
Oscillation criteria for even order neutral difference equations [PDF]
Opuscula Mathematica, 2019 In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form \[\Delta^m(x_n+ax_{n-\tau_1}+bx_{n+\tau_2})+p_nx_{n-\sigma_1}^{\alpha}+q_nx_{n+\sigma_2}^{\beta}=0,\quad n\geq n_0 ...
S. Selvarangam +3 more
doaj +1 more source
Even order uniform hypergraph via the Einstein product
AKCE International Journal of Graphs and Combinatorics, 2023 We propose the algebraic connectivity of an undirected 2m-uniform hypergraph under the Einstein product. We generalize the algebraic connectivity to a directed 2m-uniform hypergraph and reveal the relationship between the vertex connectivity and the ...
Jiaqi Gu, Yimin Wei
doaj +1 more source
On the oscillatory behavior of even order neutral delay dynamic equations on time-scales
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We establish some new criteria for the oscillation of the even order neutral dynamic equation \begin{equation*} \left( a(t)\left( \left( x(t)-p(t)x(\tau (t))\right) ^{\Delta^{n-1}}\right) ^{\alpha }\right) ^{\Delta }+q(t)\left( x^{\sigma}(g(t))\right) ^{\
Said Grace +3 more
doaj +1 more source
Conditions for the Oscillation of Solutions to Neutral Differential Equations of Higher Order
Mathematics, 2023 In this research, we applied three techniques—the comparison technique, the Riccati technique, and the integral averages technique to analyze and establish various conditions and properties associated with the oscillatory behavior of even-order neutral ...
Maryam Al-Kandari
doaj +1 more source
New oscillation constraints for even-order delay differential equations [PDF]
Opuscula Mathematica, 2023 The purpose of this paper is to study the oscillatory properties of solutions to a class of delay differential equations of even order. We focus on criteria that exclude decreasing positive solutions.
Osama Moaaz +3 more
doaj +1 more source